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Finding the Third Proportional to 4,542 and 10,083

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Solution

The third proportional to 4,542 and 10,083 is: 22,383.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542 : 10,083 = 10,083 : x
  2. Step 2: Convert to fraction form
    4,542/10,083 = 10,083/x
  3. Step 3: Cross multiply
    4,542x = 10,083 × 10,083
  4. Step 4: Simplify right side
    4,542x = 101,666,889
  5. Step 5: Solve for x
    x = 101,666,889/4,542
  6. Step 6: Final answer
    x = 22,383.73

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.